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f0f05de | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | import OAI.Combinatorics.BooleanFunctions.Amplification
import OAI.Combinatorics.BooleanFunctions.Readout
namespace OAI
open scoped BigOperators
noncomputable section
namespace SquareRootDegree
/-- Every stage and the final sign readout use finitely many actual Boolean inputs. -/
theorem signed_violations : SignedViolations := by
intro C hC
obtain ⟨F,hF⟩ := Amplification.exists_large_ratio ((C/ReadoutCLT.constant)^2)
exact Observations.violation_of_observation F.map F.cost F.cost_pos F.cell_le
F.variance_pos C hC hF
/-- Unbounded violations for ordinary real Fourier degree and uniform cube averages. -/
theorem main : SignedViolations ∧ ¬ BddAbove AbsoluteRatios := by
exact ⟨signed_violations,absolute_unbounded_of_signed signed_violations⟩
end SquareRootDegree
end
end OAI
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